{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "## LDA——线性判别分析"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "2977fe97ec44a2e2"
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-05-06T13:51:15.285779Z",
     "start_time": "2025-05-06T13:51:14.992063Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pickle\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "from sklearn.metrics import accuracy_score, precision_recall_fscore_support, confusion_matrix, classification_report\n",
    "\n",
    "# 使用相对路径加载数据集\n",
    "data_dir = r'D:\\Machine_learning\\jiqixuexi\\cifar-10-python\\cifar-10-batches-py'"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 加载数据及数据预处理"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "c410321ce2b75b12"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def load_cifar10_data(data_dir):\n",
    "    # 加载训练数据\n",
    "    train_data = []\n",
    "    train_labels = []\n",
    "    for i in range(1, 6):\n",
    "        batch_path = os.path.join(data_dir, f'data_batch_{i}')\n",
    "        with open(batch_path, 'rb') as file:\n",
    "            batch = pickle.load(file, encoding='latin1')\n",
    "            train_data.append(batch['data'])\n",
    "            train_labels.extend(batch['labels'])\n",
    "    train_data = np.array(train_data).reshape(50000, 3, 32, 32).transpose(0, 2, 3, 1)\n",
    "    train_labels = np.array(train_labels)\n",
    "\n",
    "    # 加载测试数据\n",
    "    test_batch_path = os.path.join(data_dir, 'test_batch')\n",
    "    with open(test_batch_path, 'rb') as file:\n",
    "        test_batch = pickle.load(file, encoding='latin1')\n",
    "    test_data = test_batch['data'].reshape(10000, 3, 32, 32).transpose(0, 2, 3, 1)\n",
    "    test_labels = np.array(test_batch['labels'])\n",
    "\n",
    "    return (train_data, train_labels), (test_data, test_labels)\n",
    "\n",
    "# 调用函数加载数据\n",
    "(train_data, train_labels), (test_data, test_labels) = load_cifar10_data(data_dir)\n",
    "\n",
    "# 数据预处理\n",
    "train_data = train_data.astype('float32') / 255.0\n",
    "test_data = test_data.astype('float32') / 255.0\n",
    "\n",
    "# 将图像数据展平为一维向量（32x32x3=3072）\n",
    "train_data = train_data.reshape(-1, 32*32*3)\n",
    "test_data = test_data.reshape(-1, 32*32*3)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-05-06T13:51:32.373143Z",
     "start_time": "2025-05-06T13:51:31.229698Z"
    }
   },
   "id": "dfd197a948937a2c",
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 模型训练与评估"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "26bd73413511f0da"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.3713\n",
      "Precision: 0.37065719058508695\n",
      "Recall: 0.3713\n",
      "F1-score: 0.3704588551864119\n",
      "Confusion Matrix:\n",
      " [[464  44  52  43  22  41  22  51 191  70]\n",
      " [ 65 415  44  51  35  46  38  46  80 180]\n",
      " [101  37 256 103 132  89 138  71  49  24]\n",
      " [ 43  49 123 245  62 214 132  48  30  54]\n",
      " [ 61  28 155  83 270 106 146  97  25  29]\n",
      " [ 37  41 109 180  81 329  88  67  39  29]\n",
      " [ 13  45 101 138 121  89 413  42  14  24]\n",
      " [ 50  40  84  71  88  98  48 404  42  75]\n",
      " [165  82  23  41  11  55  12  22 493  96]\n",
      " [ 72 183  25  41  29  32  42  61  91 424]]\n",
      "Classification Report:\n",
      "               precision    recall  f1-score   support\n",
      "\n",
      "           0       0.43      0.46      0.45      1000\n",
      "           1       0.43      0.41      0.42      1000\n",
      "           2       0.26      0.26      0.26      1000\n",
      "           3       0.25      0.24      0.25      1000\n",
      "           4       0.32      0.27      0.29      1000\n",
      "           5       0.30      0.33      0.31      1000\n",
      "           6       0.38      0.41      0.40      1000\n",
      "           7       0.44      0.40      0.42      1000\n",
      "           8       0.47      0.49      0.48      1000\n",
      "           9       0.42      0.42      0.42      1000\n",
      "\n",
      "    accuracy                           0.37     10000\n",
      "   macro avg       0.37      0.37      0.37     10000\n",
      "weighted avg       0.37      0.37      0.37     10000\n"
     ]
    }
   ],
   "source": [
    "# 使用LDA模型训练与评估\n",
    "lda = LinearDiscriminantAnalysis()\n",
    "lda.fit(train_data, train_labels)\n",
    "# 模型预测\n",
    "y_pred = lda.predict(test_data)\n",
    "# 模型评估\n",
    "accuracy = accuracy_score(test_labels, y_pred)\n",
    "precision, recall, f1, _ = precision_recall_fscore_support(test_labels, y_pred, average='weighted')\n",
    "conf_matrix = confusion_matrix(test_labels, y_pred)\n",
    "class_report = classification_report(test_labels, y_pred)\n",
    "\n",
    "print(\"Accuracy:\", accuracy)\n",
    "print(\"Precision:\", precision)\n",
    "print(\"Recall:\", recall)\n",
    "print(\"F1-score:\", f1)\n",
    "print(\"Confusion Matrix:\\n\", conf_matrix)\n",
    "print(\"Classification Report:\\n\", class_report)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-05-06T14:05:51.665355Z",
     "start_time": "2025-05-06T13:51:34.496898Z"
    }
   },
   "id": "6ae7bdc3cb85101f",
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "### 使用热力图展示混淆矩阵"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "f2a0bdde57047476"
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1200x800 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 8))\n",
    "sns.heatmap(conf_matrix, annot=True, fmt='d', cmap='Blues')\n",
    "plt.title(\"LDA Model - Confusion Matrix (CIFAR-10)\")\n",
    "plt.xlabel(\"Predicted Label\")\n",
    "plt.ylabel(\"True Label\")\n",
    "plt.show()"
   ],
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     "end_time": "2025-05-06T14:12:00.302187Z",
     "start_time": "2025-05-06T14:11:59.467408Z"
    }
   },
   "id": "c6c9106aad64694a",
   "execution_count": 4
  },
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   "cell_type": "code",
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   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "2e814852a021f84e"
  }
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